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Finding the Third Proportional to 754,602 and 1,121,647.50

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Solution

The third proportional to 754,602 and 1,121,647.50 is: 1,667,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,602 : 1,121,647.50 = 1,121,647.50 : x
  2. Step 2: Convert to fraction form
    754,602/1,121,647.50 = 1,121,647.50/x
  3. Step 3: Cross multiply
    754,602x = 1,121,647.50 × 1,121,647.50
  4. Step 4: Simplify right side
    754,602x = 1,258,093,114,256.25
  5. Step 5: Solve for x
    x = 1,258,093,114,256.25/754,602
  6. Step 6: Final answer
    x = 1,667,227.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.